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Answer :
Final answer:
A 2x2 design has 4 fctors, aa 3x2x2 design has 6 factors, a 3x3x3 design has 9 factors, and a 2x2x2x2 design has 16 factors. So, the correct option is A.
Explanation:
A 2x2 design has 4 factors, a 3x2x2 design has 6 factors, a 3x3x3 design has 9 factors, and a 2x2x2x2 design has 16 factors.
For a 2x2 design, there are two factors, each with two levels. The number of factors can be determined by multiplying the number of levels of each factor. In this case, 2 x 2 = 4.
Similarly, for a 3x2x2 design, there are three factors with 2, 2, and 2 levels, respectively. So the number of factors is 3 x 2 x 2 = 6.
In a 3x3x3 design, each factor has 3 levels, resulting in a total of 3 x 3 x 3 = 9 factors.
Finally, for a 2x2x2x2 design, there are four factors, each with 2 levels. Thus, the number of factors is 2 x 2 x 2 x 2 = 16.
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